List All the Transformations of the Parabola

List the transformations of y = 0.5(x + 6)². List all that apply.

• Vertical stretch

• Vertical compress

• Shift right 6

• Shift Left 6

List the transformations of y = 7/3(x − 12)² + 15. List all that apply.

• Vertical stretch

• Vertical compress

• Shift right 12

• Shift left 12

• Shift up 15

List the transformations of y = −2x² + 5. Select all that apply.

• Reflect x-axis and vertical compress

• Reflect over x-axis and vertical stretch

• shift left 5

• Shift right 5

• Shift up 5

Write the new equation when

y = (x − 2)² + 7 is translated 3 units up and 9 units to the left.

• y = (x + 11)² + 10

• y = (x + 7)² + 10

• y = (x - 11)² + 10

• y = (x - 5)² - 2

• vertical

  compression

• reflected across x-axis

• vertical shift up

• vertical stretch

• horizontal shift right

• Reflection over x-axis

• None of these

Transform the quadratic parent function to show that there is a vertical translation up 4 units, a horizontal translation left 2 units, and vertical reflection.

(Make sure one of the points is on the vertex, and the other a zero.)

• up

• reflected

• x-axis

• shrunk

• translated

• y-axis

• down

• left

• right

Write the new equation when y = 3(x + 1)² − 5 is translated 7 units to the right, 4 units down, and opens down.

• y = 3(x − 6)² − 1

• y = −3(x − 3)² + 2

• y = −3(x + 8)² − 9

• y = −3(x − 6)² − 9

Determine if the graph of the function y = −6(x + 19)² + 11 is wider, congruent, or narrower than the parent function.

• Wider

• Congruent

• Narrower